# Aitken-Steffensen-type methods for nonsmooth functions (I)

## Abstract

We study the convergence of the Aitken-Steffensen method for solving a scalar equation $$f(x)=0$$. Under reasonable conditions (without assuming the differentiability of $$f$$) we construct some auxilliary functions used in these iterations, which generate bilateral sequences approximating the solution of the considered equation.

## Keywords

nonlinear equations in R; Aitken-Steffensen method.

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##### Cite this paper as:

I. Păvăloiu, Aitken-Steffensen-type methods for nonsmooth functions (I), Rev. Anal. Numér. Théor. Approx., 31 (2002) no. 1, pp. 109-114.

1222-9024

2457-8126